An adaptive finite volume method using thin plate splines for the numerical simulation of the inviscid Burgers equation

African Journal of Mathematics and Computer Science Research

Terhemen Aboiyar¹ 

关键词: Finite volume methods;    WENO method;    conservation laws;    radial basis functions;    thin plate splines.;   

DOI  :  

学科分类：计算机科学（综合）

来源: Academic Journals

【 摘 要 】

Thin plate splines are utilized in the construction of a non-oscillatory finite volume method for the inviscid Burgers’ equation which is a prototype nonlinear conservation law. To capture the sharp features that occur during numerical simulation, the method is implemented on an adaptive triangulation. Ana posteriorierror indicator is used to detect regions where the solution varies rapidly.

【 授权许可】

CC BY